Question : If 2A = 3B and 3B = 2C, then what is $A:B:C$?
Option 1: $3:2:3$
Option 2: $2:3:2$
Option 3: $1:3:1$
Option 4: $2:3:4$
Correct Answer: $3:2:3$
Solution : 2A = 3B and 3B = 2C ⇒ $ A= \frac{3B}{2}$ and $C = \frac{3B}{2}$ So, the required ratio is, $A:B:C = \frac{3B}{2} : B : \frac{3B}{2}$ ⇒ $A:B:C = 3:2:3$ Hence, the correct answer is $3:2:3$.
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